In this paper, the Elzaki transform decomposition method is implemented to solve the time-
fractional Swift–Hohenberg equations. The presented model is related to the temperature …

This article proposed two novel techniques for solving the fractional-order Boussinesq
equation. Several new approximate analytical solutions of the second-and fourth-order time …

In this paper, the new iterative transform method and the homotopy perturbation transform
method was used to solve fractional-order Equal-Width equations with the help of Caputo …

Stochastic fractional differential systems are important and useful in the mathematics,
physics, and engineering fields. However, the determination of their probabilistic responses …

This article addresses three classes of fractional oscillators named Class I, II and III. It is
known that the solutions to fractional oscillators of Class I type are represented by the Mittag …

The aim of this paper is to investigate the control of chaotic Burke-Shaw system using
Pyragas method. This system is derived from Lorenz system which has several applications …

In this paper, an approximate semi-analytical approach is developed for determining the first-
passage probability of randomly excited linear and lightly nonlinear oscillators endowed …

In this paper, the incremental harmonic balance (IHB) method is extended to analyze the
dynamical properties of fractional-order nonlinear oscillator, and the general forms of the …

In this work, we investigate a new sequential coupled differential system of Duffing type. The
considered system involves Caputo Hadamard derivatives. Based on both Banach …

In this paper, we investigate nonlinear dynamical responses of two-degree-of-freedom airfoil
(TDOFA) models driven by harmonic excitation under uncertain disturbance. Firstly, based …